Recursive relations from diffeomorphism in the Randall-Sundrum model

TL;DR

This paper derives recursive relations from diffeomorphism invariance in warped extra-dimensional gravity models, specifically analyzing the Randall-Sundrum setup, and explores their physical implications.

Contribution

It introduces nonlinear transformation rules for metric perturbations and establishes recursive relations in the effective Lagrangian for the Randall-Sundrum model.

Findings

Recursive relations link successive orders in field expansion.

Diffeomorphism invariance constrains the effective Lagrangian structure.

Physical implications for the Randall-Sundrum model are briefly discussed.

Abstract

Models of gravity in warped extra dimensions enjoy invariance under diffeomorphism. We derive the nonlinear transformation rules for the metric perturbations in the unitary gauge. As an off-shell symmetry, the main consequence of diffeomorphism is a set of recursive relations linking consecutive orders in the field expansion of the effective Lagrangian. The physical consequences are briefly explored for the Randall-Sundrum model with hard branes.